Solve for x and y: x + 9y = 18 x + 15y = 42
A)x = 18, y = 4
B)x = 18, y = -4
C)x = -18, y = -4
D)x = -18, y = 4
E)x = 4, y = -18

Question

Quizplus · Accepted Answer

To solve for x and y, we can use the method of elimination. We can subtract the first equation from the second equation to eliminate the x variable:
(x + 15y) - (x + 9y) = 42 - 18
6y = 24
y = 4
Substituting y = 4 into one of the equations (let's use the first one):
x + 9(4) = 18
x + 36 = 18
x = -18
Therefore, the solution is x = -18 and y = 4, which corresponds to choice D.

Solve for X and Y: X + 9y = 18